MERLOT Materialshttps://www.merlot.org/
MERLOT MaterialsCopyright (C) 2018 MERLOT Some Rights ReservedMon, 29 Feb 2016 03:30:29 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.pnghttps://www.merlot.org/
-1-1Mathematical Visualization Toolkithttps://www.merlot.org/merlot/viewMaterial.htm?id=89767
<p>This site consists of a collection of plotting and solving applets featuring a uniform user interface. This site was selected as the 2005 MERLOT Classics Award winner for the Mathematics discipline due to its value and effectiveness as a set of teaching/learning tools. Visualizing mathematical concepts, especially in three-dimensional space, can be quite difficult for students. These tools and applications enable students to see the concepts in action and to come a deeper understanding of the underlying mathematics. In addition, the collaboration between the faculty, students and Sun Microsystems staff who together designed and constructed these tools was quite unusual and impressive. The collaboration itself is an inspiring model.</p>Tue, 17 Jul 2001 07:00:00 GMTUniversity of Colorado at Boulder Department of Applied Mathematics University of Colorado at Boulder, Department of Applied MathematicsLarry Green's Applet Pagehttps://www.merlot.org/merlot/viewMaterial.htm?id=77279
<p>Contains dozens of interactive tutorials and discovery exercises for beginning, intermediate, and college algebra.</p>Sat, 27 Jul 2002 07:00:00 GMTLarry Green Lake Tahoe Community CollegeCut-the-Knot!https://www.merlot.org/merlot/viewMaterial.htm?id=78198
<p>This site is the parent site of an extensive collection of interactive mathematics authored by Alexander Bogomolny and includes an interactive monthly column . The content is accessible to the casual reader but offers much depth along with links to other high-quality resources. Altogether, this site is a mathematician's delight.</p>Tue, 26 Nov 2002 08:00:00 GMTAlexander Bogomolny Cut-the-knot.comFibonacci Numbers and the Golden Sectionhttps://www.merlot.org/merlot/viewMaterial.htm?id=89324
<p>This excellent site contains a large and interesting selection of material on Fibonacci Numbers and their myriad related concepts. It includes web and text references to the rich literature of Fibonacci numbers. It also features a variety of images, graphics and animations. Many of the topics include student investigations for NCTM standard type explorations. The content includes standard motivational examples and applications in nature, but also mathematical explanations and puzzle pages. The site has already won several awards.</p>Thu, 10 May 2001 07:00:00 GMTDr. Ron Knott University of Surrey, Guildford, Surrey, UKMacTutor History of Mathematics Archivehttps://www.merlot.org/merlot/viewMaterial.htm?id=89142
<p>An award-winning site concerning the history of mathematics. In-depth coverage of numerous people, topics, mathematical curves, and more. Extensively cross-linked; powerful search engine. Rich and growing source of materials.</p>Thu, 19 Apr 2001 07:00:00 GMTDr. John O'Connor, Prof. Edmund Robertson University of St. Andrews, ScotlandAlgebra2go: An Online Supplemental Instruction Tool Arrayhttps://www.merlot.org/merlot/viewMaterial.htm?id=377756
<p>Algebra2go is a free unrestricted collection of pre-algebra and algebra related study materials designed to address the affective dimensions of student learning.</p>Wed, 08 Apr 2009 02:04:58 GMTLarry Perez; Patrick Quigley Saddleback College; Saddleback CollegeExploring Multivariable Calculushttps://www.merlot.org/merlot/viewMaterial.htm?id=437177
<p>The main goal of this project is to improve student understanding of the geometric nature of multivariable calculus concepts, i.e., to help them develop accurate geometric intuition about multivariable calculus concepts and the various relationships among them.</p><p>To accomplish this goal, the project includes four parts:</p><p>· Creating a Multivariable Calculus Visualization applet using Java and publishing it on a website: web.monroecc.edu/calcNSF</p><p>· Creating a series of focused applets that demonstrate and explore particular 3D calculus concepts in a more dedicated way.</p><p>· Developing a series of guided exploration/assessments to be used by students to explore calculus concepts visually on their own.</p><p>· Dissemination of these materials through presentations and poster sessions at math conferences and through other publications.</p><p><strong>Intellectual Merit:</strong> This project provides dynamic visualization tools that enhance the teaching and learning of multivariable calculus. The visualization applets can be used in a number of ways:</p><p>- Instructors can use them to visually demonstrate concepts and verify results during lectures.</p><p>- Students can use them to explore the concepts visually outside of class, either using a guided activity or on their own.</p><p>- Instructors can use the main applet (CalcPlot3D) to create colorful graphs for visual aids (color overheads), worksheets, notes/handouts, or tests. 3D graphs or 2D contour plots can be copied from the applet and pasted into a word processor like Microsoft Word.</p><p>- Instructors will be able to use CalcPlot3D to create lecture demonstrations containing particular functions they specify and/or guided explorations for their own students using a scripting feature that is being integrated with this applet.</p><p>The guided activities created for this project will provide a means for instructors to get their students to use these applets to actively explore and “play” with the calculus concepts.</p><p>Paul Seeburger, the Principal Investigator (PI) for this grant project, has a lot of experience developing applets to bring calculus concepts to life. He has created 100+ Java applets supporting 5 major calculus textbooks (Anton, Thomas, Varberg, Salas, Hughes-Hallett). These applets essentially make textbook figures come to life. See examples of these applets at <a title="Exploration Applets" href="http://www.monroecc.edu/wusers/pseeburger/" target="_blank">www.monroecc.edu/wusers/pseeburger/</a>.</p><p><strong>Broader Impacts:</strong> This project will provide reliable visualization tools for educators to use to enhance their teaching in calculus and also in various Physics/Engineering classes. It is designed to promote student exploration and discovery, providing a way to truly “see” how the concepts work in motion and living color. The applets and support materials will be published and widely disseminated through the web and conference presentations.</p>Sun, 07 Mar 2010 20:17:32 GMTPaul Seeburger Monroe Community CollegeFlash Mathletshttps://www.merlot.org/merlot/viewMaterial.htm?id=87515
<p>"The Flash mathlets are divided into two sections.The For Students and Instructors section contains Flash applets which may be useful to instructors for classroom demonstrations, as well as to students for independent work and exploration. The For Developers section presents applets together with varied templates and the complete, object-oriented, easily-customizable source code that can be used by instructors for creating their own customized versions of the applets."</p>Wed, 19 Jul 2006 07:00:00 GMTBarbara Kaskosz University of Rhode IslandGeogebrahttps://www.merlot.org/merlot/viewMaterial.htm?id=274019
<p>GeoGebra is a free and multi-platform dynamic mathematics software for education in secondary schools that joins geometry, algebra and calculus. On the one hand, GeoGebra is a dynamic geometry system--you can do constructions with points, vectors, segments, lines, conic sections as well as functions and change them dynamically afterwards; on the other hand, equations and coordinates can be entered directly. Thus, GeoGebra has the ability to deal with variables for numbers, vectors and points, finds derivatives and integrals of functions and offers commands like Root or Extremum. These two views are characteristic of GeoGebra: an expression in the algebra window corresponds to an object in the geometry window and vice versa.</p>Mon, 24 Sep 2007 19:53:41 GMTMarkus Hohenwarter Florida Atlantic UniversityGraph Theory Lessonshttps://www.merlot.org/merlot/viewMaterial.htm?id=84776
<p>The applets contain topics typically found in undergraduate graph theory and discrete structures classes like null graphs, the handshaking lemma, isomorphism, complete graphs, subgraphs, regular graphs, platonic graphs, adjacency matrices, graph coloring, bipartite graphs, simple circuits, Euler and Hamilton circuits, trees, unions and sums of graphs, complements of graphs, line graphs, spanning trees, plane graphs, shortest paths, minimal spanning trees. The applet utilizes Petersen software written by the author. Peterson can draw, edit and manipulate simple graphs, examine properties of the graphs, and demonstrate them using computer animation.</p>Sat, 24 Sep 2005 07:00:00 GMTDr. Christopher P. Mawata University of Tennessee at ChattanoogaDemos with Positive Impacthttps://www.merlot.org/merlot/viewMaterial.htm?id=80956
<p>Demos with Positive Impact is a collection of quick classroom demos that enhance the learning of mathematics content through animations, experiments etc. Each demo comes with stated objective, prerequisites, instructor notes and platform info, plus the level of the demo and credits. This setup appears conducive to quick inclusion into a class. <br /><br />To view a video of the award winning author, go to <a href="&lt;a href=" target="_blank"></a><a href="http://about.merlot.org/Videos/Math_Demos/Math_Demo.html" target="_blank"></a><a href="http://about.merlot.org/Videos/Math_Demos/Math_Demo.html" target="_blank"></a><a href="http://about.merlot.org/Videos/Math_Demos/Math_Demo.html" target="_blank"><a href="http://about.merlot.org/Videos/Math_Demos/Math_Demo.html" target="_blank">http://about.merlot.org/Videos/Math_Demos/Math_Demo.html</a></a>" target="_blank"&gt;Demos with Positive Impact - the Mathematics Award Winner 2008 video</p><p>The author also participated in the MERLOT Classics Series on Elluminate: <a href="https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr" target="_blank"></a><a href="https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr&lt;/a&gt;&lt;/p&gt;" target="_blank"></a><a href="https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr&lt;/a&gt;&lt;/p&gt;&lt;p&gt; &lt;/p&gt;" target="_blank"><a href="https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr</a></p><p> </p><p> </p>" target="_blank">https://sas.elluminate.com/site/external/jwsdetect/playback.jnlp?psid=2010-03-25.1727.M.9E9FE58134BE68C3B413F24B3586CF.vcr</a></p><p> </p><p> </p></a>Wed, 12 May 2004 07:00:00 GMTDavid R. Hill and Lila F. Roberts Temple University, Georgia College and State UniversitySymbolab Math Solverhttps://www.merlot.org/merlot/viewMaterial.htm?id=1131540
<p>This site allows the user to enter in a wide variety of math problems. The computer solves the problem and shows the relevant steps. It have a user friendly math equation editor and an abundance of examples.</p>Mon, 29 Feb 2016 03:30:29 GMTInstructor-Made Videos as a Scaffolding Toolhttps://www.merlot.org/merlot/viewMaterial.htm?id=768947
<p><strong>Abstract:</strong> Instructors have frequently found that some content, such as mathematical formulae, chemistry laboratory experiments, and business practices, are unusually difficult for students to comprehend through text-centered approaches, and that this is especially so for online students. In response, instructor-made videos (IMVs) of three to 10 minutes in length on problematic topics or subject matter areas were produced for business, chemistry, and mathematics courses. The IMVs were intended to scaffold student learning. Initial findings revealed that multimodal IMVs involving the demonstration, illustration, and presentation of key terms, knowledge, skills, and resources can help students understand important procedures, structures, or mechanisms in previously problematic content. Simply stated, IMVs can have a positive impact on student learning.</p><p><a href="http://jolt.merlot.org/Vol8_No4.htm">Volume 8, No. 4, December 2012</a>, pp. 298-311</p><p><a href="http://jolt.merlot.org/vol8no4/pan_1212.htm">HTML</a> / <a href="http://jolt.merlot.org/vol8no4/pan_1212.pdf">PDF</a></p>Thu, 20 Jun 2013 02:53:43 GMTCurt Bonk; Guohua Pan; David V. Powell; Michael Rodgers; Mohan Tikoo; Sandipan Sen; David A. Starrett (1) Indiana University (2) CourseShare.com; Freelance Instructional Designer; Southeast Missouri State University; Southeast Missouri State University; Southeast Missouri State University; Southeast Missouri State University; Southeast Missouri State UniversityScienceU--Geometry Centerhttps://www.merlot.org/merlot/viewMaterial.htm?id=75574
<p>The Geometry Center contains a variety of appealing material, both textual and visual, including interactive exhibits, simulations, graphics software and a library of reference materials pertaining to geometric tilings and polyhedra.</p>Thu, 20 Sep 2001 07:00:00 GMTThe Geometry Center c/o Mark Phillips Geometry Technologies, Inc.National Library of Virtual Manipulativeshttps://www.merlot.org/merlot/viewMaterial.htm?id=76833
<p>Large collection of platform independent, interactive, java applets and activities for K-12 mathematics and teacher education.</p>Wed, 08 May 2002 07:00:00 GMTCannon, E.; Cannon, L.; Dorward, J.; Duffin, J.; Heal, R.; Stowell, D.; Susman, Z.; Wellman, R.; Youngberg, J. MATTI Associates L.L.C., Utah State UniversityGraphing the line y = mx + bhttps://www.merlot.org/merlot/viewMaterial.htm?id=82490
This learning object gives the student the equation y = mx + b and first asks the student to move the line to the correct y-intercept and then rotate for the correct slopeTue, 26 Oct 2004 07:00:00 GMTLarry Green Lake Tahoe Community CollegeEye Opener Serieshttps://www.merlot.org/merlot/viewMaterial.htm?id=75011
<p>A collection of Java applets - math puzzles and problem illustrations - that open eyes, each for its own reason.</p>Sun, 15 Mar 1998 08:00:00 GMTAlexander BogomolnyInteractive Mathematics--Games and Puzzleshttps://www.merlot.org/merlot/viewMaterial.htm?id=78195
<p>This site contains an extensive collection of games and puzzles in the form of java applets including Nim, the Tower of Hanoi, Cryptarithms, Latin Squares, and much more. Written by Alexander Bogomolny, these applets are designed to engage the reader in interactive investigations. Background material is provided and the site serves as an excellent educational resource.</p>Tue, 26 Nov 2002 08:00:00 GMTAlexander Bogomolny Cut-the-knot.comMathlets: JAVA Applets for Math Applicationshttps://www.merlot.org/merlot/viewMaterial.htm?id=88565
<p>Collection of JAVA applets for precalculus, calculus, graphing, three-dimensional graphing</p>Thu, 15 Feb 2001 08:00:00 GMTTom Leathrum Jacksonville State UniversityMaths Onlinehttps://www.merlot.org/merlot/viewMaterial.htm?id=78252
<p>A collection of mathematics learning materials for high school and college students. It incudes several applets,.</p>Wed, 04 Dec 2002 08:00:00 GMTFranz Embacher and Petra Oberhuemer University of ViennaPedagogy in Practice: Video Case Studies of Teaching Science; Pedagogy in Practice: Video Case Studies of Teaching Math; Strategies in Practice Resource Guidehttps://www.merlot.org/merlot/viewMaterial.htm?id=80710
<p>To address the critical teacher shortage in math and science, the Teaching and Learning Interchange grant produced three products: two series of online video case studies of accomplished teaching and a resource guide explaining the techniques, ideas for engaging students, assessing learning progress, creating and maintaining a classroom conducive to learning, along with strategies for working with English Learners and Special needs students. Originally conceived for use with pre-service and intern teachers, the cases and resources have been recommended by field reviewers for use at all stages of the teacher professional continuum.<br /><br />The <span style="font-style: italic;">Pedagogy in Practice: Science</span> video case studies document lessons from general science, biology and chemistry; the <span style="font-style: italic;">Pedagogy in Practice: Math</span> video cases cover 8th grade algebra, high school algebra and geometry. Each case is supported by relevant artifacts that develop real contexts for the learning and includes teaching cues and transcripts of classroom dialog. National Board certified and Exploratorium Master teachers deconstruct their own teaching practices and share how they break subject matter standards into mind-sized learning units, then demonstrate those same learning units in action. Teacher reflections on assessment, along with links to resouces found in the <span style="font-style: italic;">Strategies in Practice Resource Guide, </span>provide support for classroom management, lesson planning and essential strategies that describe how to adapt the instructional pedagogy modeled in the videos. All lessons are aligned simultaneously to the California standards for teaching and science subject matter content.</p>Wed, 17 Mar 2004 08:00:00 GMTPamela Redmond Touro University CaliforniaThe Prime Pages - Largest Known Primeshttps://www.merlot.org/merlot/viewMaterial.htm?id=77729
<p>An assortment of information on largest known primes including lists of examples. Sub-page of "The Primes Pages"</p>Sat, 28 Sep 2002 07:00:00 GMTChris Caldwell University of TennesseeFinding the Domain of a Functionhttps://www.merlot.org/merlot/viewMaterial.htm?id=81267
<p>This applet guides the user through the process of finding the domain of a function. Hints and feedback are plentiful and useful. New problems are generated at the click of a button.</p>Thu, 22 Jul 2004 07:00:00 GMTLarry Green Lake Tahoe Community CollegeThree glass puzzlehttps://www.merlot.org/merlot/viewMaterial.htm?id=75023
<p>An old puzzle implemented in JavaScript. Several research question are asked about the puzzle, a couple of question are answered in a regorous manner. Two implementation are offered.</p>Mon, 16 Mar 1998 08:00:00 GMTAlexander Bogomolny